Please solve anyone you can

See below.

Step-by-step explanation:

I can't do all these for you but I'll show you how they are done by taking some samples.

k) 2^x = 32

Take logs of both sides

log 2^x = log 32

x log 2 = log 32

x = log 32 / log 2   Using your calculator to find the log values:

x = 5.

r) 9^(x + 1) = 81

log 9^(x + 1) = log 81

x + 1 log 9 = log 81

x + 1 = log81 / log9 = 2

x + 1 = 2

x = 1.

The above method is a general way to do these using logs but with some of the simpler ones you don't have to use logs at all:

For example :

3^x = 27

We know that 3^3 is 27 so

3^x = 3^3  and so:

x = 3.

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204

x=-7

step-by-step explanation:

x+3=-10

-10+3=-7

x=-7